(1+sin(a)-cos(2*a)-sin(3*a))*1/(2*sin(a)^2+sin(a)-1) если a=1 (упростите выражение)

$$frac{sin{left (a right )} + 1 – cos{left (2 a right )} – sin{left (3 a right )}}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

$$frac{sin{left (a right )} + 1 – cos{left (2 a right )} – sin{left (3 a right )}}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

(1 + sin((1)) – cos(2*(1)) – sin(3*(1)))/(2*sin((1))^2 + sin((1)) – 1)

$$frac{sin{left ((1) right )} + 1 – cos{left (2 (1) right )} – sin{left (3 (1) right )}}{2 sin^{2}{left ((1) right )} + sin{left ((1) right )} – 1}$$

(1 + sin(1) – cos(2) – sin(3))/(2*sin(1)^2 + sin(1) – 1)

$$frac{- sin{left (3 right )} + – cos{left (2 right )} + sin{left (1 right )} + 1}{-1 + sin{left (1 right )} + 2 sin^{2}{left (1 right )}}$$

(1 – cos(2) – sin(3) + sin(1))/(-1 + 2*sin(1)^2 + sin(1))

$$frac{- sin{left (3 right )} – cos{left (2 right )} + sin{left (1 right )} + 1}{-1 + sin{left (1 right )} + 2 sin^{2}{left (1 right )}}$$

$$frac{sin{left (a right )} – sin{left (3 a right )} – cos{left (2 a right )} + 1}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

(1.0 – cos(2*a) – sin(3*a) + sin(a))/(-1.0 + 2.0*sin(a)^2 + sin(a))

$$frac{sin{left (a right )} – sin{left (3 a right )} – cos{left (2 a right )} + 1}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

$$frac{sin{left (a right )} – sin{left (3 a right )} – cos{left (2 a right )} + 1}{left(2 sin{left (a right )} + 1right) sin{left (a right )} – 1}$$

2
-sin(3*a) + 2*sin (a) + sin(a)
——————————
-cos(2*a) + sin(a)

$$frac{2 sin^{2}{left (a right )} + sin{left (a right )} – sin{left (3 a right )}}{sin{left (a right )} – cos{left (2 a right )}}$$

$$- frac{sin{left (a right )}}{- sin{left (a right )} + cos{left (2 a right )}} + frac{sin{left (3 a right )}}{- sin{left (a right )} + cos{left (2 a right )}} + frac{cos{left (2 a right )}}{- sin{left (a right )} + cos{left (2 a right )}} – frac{1}{- sin{left (a right )} + cos{left (2 a right )}}$$

1 – cos(2*a) – sin(3*a) + sin(a)
——————————–
2
-1 + 2*sin (a) + sin(a)

$$frac{sin{left (a right )} – sin{left (3 a right )} – cos{left (2 a right )} + 1}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

-(-1 – sin(a) + cos(2*a) + sin(3*a))
————————————-
2
-1 + 2*sin (a) + sin(a)

$$- frac{- sin{left (a right )} + sin{left (3 a right )} + cos{left (2 a right )} – 1}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1}$$

2
-sin(3*a) + 2*sin (a) + sin(a)
——————————
-cos(2*a) + sin(a)

$$frac{2 sin^{2}{left (a right )} + sin{left (a right )} – sin{left (3 a right )}}{sin{left (a right )} – cos{left (2 a right )}}$$

-(-1 – sin(a) + cos(2*a) + sin(3*a))
————————————-
(1 + sin(a))*(-1 + 2*sin(a))

$$- frac{- sin{left (a right )} + sin{left (3 a right )} + cos{left (2 a right )} – 1}{left(sin{left (a right )} + 1right) left(2 sin{left (a right )} – 1right)}$$

2 3 2 2
1 + sin (a) + sin (a) – cos (a) – 3*cos (a)*sin(a) + sin(a)
———————————————————–
2
-1 + 2*sin (a) + sin(a)

$$frac{1}{2 sin^{2}{left (a right )} + sin{left (a right )} – 1} left(sin^{3}{left (a right )} + sin^{2}{left (a right )} – 3 sin{left (a right )} cos^{2}{left (a right )} + sin{left (a right )} – cos^{2}{left (a right )} + 1right)$$